Hello guys, i've done a few more problems that i need corrected, thanks.

1.) The position of a particle in the xy plane at time t (seconds) is given by r(t) = (2 + 5t^2)i + (-3 + t)j

a) find the cartesian equation of the particles trajectory

my answer: x = 5y^2 + 30y +47

b) Sketch the particles trajectory also indicating its direction of motion

my solution: the shape of the graph x = 5y^2 + 30y + 47 is a sideways parabola with a vertex at (2,-3) which was found by completing the square. the particle is travelling in the direction to increase y.

b) Sketch the particles trajectory also indicating its direction of motion my solution: the shape of the graph x = 5y^2 + 30y + 47 is a sideways parabola with a vertex at (2,-3) which was found by completing the square. the particle is travelling in the direction to increase y.

Hello guys, i've done a few more problems that i need corrected, thanks.

1.) The position of a particle in the xy plane at time t (seconds) is given by r(t) = (2 + 5t^2)i + (-3 + t)j

a) find the cartesian equation of the particles trajectory

my answer: x = 5y^2 + 30y +47

b) Sketch the particles trajectory also indicating its direction of motion

my solution: the shape of the graph x = 5y^2 + 30y + 47 is a sideways parabola with a vertex at (2,-3) which was found by completing the square. the particle is travelling in the direction to increase y.